Question

there are only blue cubes, yellow cubes and green cubes in a bag there are
three times as many blue cubes as yellow cubes
and five times as many green cubes as blue cubes
sarah takes a random cube from the bag
what is the probability sarah takes out a yellow cube?
give your answer in its simplest form

Answer 1

Answer:   $\bold{\dfrac{1}{19}}$

Step-by-step explanation:

Let x represent the quantity of yellow cubes

Yellow: x

Blue: three times yellow --> 3x

Green: five times blue --> 5(3x) = 15x

Yellow + Blue + Green = Total cubes

    x      +   3x  +    15x   =       19x

$Probability=\dfrac{yellow}{total}=\dfrac{x}{19x}=\large\boxed{\dfrac{1}{19}}$

Answer 2

The probability of Sarah taking out a yellow cube from the bag is 0.7 or 5/7.

What is probability?

The fraction of favorable outcomes of an event to the total number of outcomes of the event is said to be the probability. The fraction can also be written in the simplest form.

P(E)= n(E)/n(S) where E -event, n(E) - favorable outcomes and n(S) is the total outcomes.

Calculation:

It is given that a bag contains blue cubes, yellow cubes, and green cubes.

Consider the number of blue cubes = n

So, the number of yellow cubes = 3 times as many as blue cubes

                                                     = 3n

Then, 5 times as many as green cubes = blue cubes

⇒ number of green cubes = n/5

Then the total number of cubes in the bag

= n + 3n + n/5

⇒ [5n + 15n + n]/5

⇒ 21n/5

Then the probability of taking out a yellow cube = (possible outcomes of a yellow cube)/(total number of cubes)

⇒ $\frac{(3n)}{(21n/5)}$

⇒ 15n/21n

⇒ 5/7

∴ The probability of taking out a yellow cube = 5/7 = 0.7.

Find more such a probability problems here:

https://brainly.com/question/1229429

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